The general concept of nonlinear self-adjointness of differential equations is introduced. It
includes the linear self-adjointness as a particular case. Moreover, it embraces the strict self-…

Although many nonlinear differential equations have been investigated in the literature for a
long time, the mathematical properties of their exact general solutions remain a subject of …

This is the second paper in a series where we succeed in enlarging the class of solvable
problems in one and three dimensions. We do that by working in a complete square integrable …

Our world is linked by a complex mesh of networks through which information, people and
goods flow. These networks are interdependent on each other, and present structural and …

Natural populations live in heterogeneous environments, where habitat variation drives the
evolution of phenotypic plasticity. The key feature of population structure addressed in this …

The Migdal-Kadanoff renormalisation group for two-dimensions is employed to obtain the
global phase diagram for the site-bond correlated percolation problem. It is found that the Ising …

We derive the exact equality, referred to as the fluctuation relation for heat engines (FRHE),
that relates statistics of heat extracted from one of the two heat baths and the work per one …

We study the equivalence between the recently proposed finite environment quantum jump
model and a master equation approach. We derive microscopically the master equation for a …

A functional equation, similar to that formulated for the knapsack problem, is applied to the
solution of a problem of resource allocation in critical path scheduling, and to a variety of …

Let G be a simple simply connected algebraic group over ℂ with Lie algebra % MathType!MTEF!2!1!+-
% feaafiart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % …